
clear all
set more off

cd "set here the path folder where the data are stored and output should be saved"

local maxiter=400
set obs `maxiter'
gen numbM=.
gen denombM=.
gen lateb=.

gen numbM_z=.
gen denombM_z=.
gen lateb_z=.




save bst_results_south_2006_rel231_long_wlag.dta, replace

/*BOOTSTRAP - LOOP*/

**We compute the empirical distribution of the estimators whose standard deviation gives us the SEs for each estimate
local j1 = 1

while (`j1'<=`maxiter'){
	use sout_w1w2_2006_w2rel231_w1rel231_long, replace
	bsample
biprobit (worker1=ivphealth age1 educ sisters lworker1) (daily=ivphealth age1 educ sisters lworker1), rob
predict xbhat, xb1
predict xghat, xb2
matrix coef=e(b)
svmat coef, name(b)
replace b1=b1[_n-1] in 2/l
replace b7=b7[_n-1] in 2/l
replace b9=b9[_n-1] in 2/l
replace b8=b8[_n-1] in 2/l
replace b6=b6[_n-1] in 2/l
gen x1b=xbhat-b1*ivphealth+b1 
gen x2b=xbhat-b1*ivphealth 
gen x1g=xghat-b7*ivphealth+b7
gen x2g=xghat-b7*ivphealth 


gen df1b=normal(x1b) 
gen df2b=normal(x2b) 
gen df1g=normal(x1g) 
gen df2g=normal(x2g) 
gen num=df1b-df2b 
gen denom=df1g-df2g 


  egen numibM =mean(num)
 egen denibM =mean(denom)

 gen lateb=numibM/denibM
	local M4= numibM[1]
	local M5= denibM[1]
	local M6= lateb[1]
	
gen z=(group==3 & educ==1 & lworker1==1 & sisters!=0)
sum num if z==1
gen numibM_z=r(mean) 
sum denom if z==1
gen denibM_z=r(mean) 
gen lateb_z=numibM_z/denibM_z 

	local M7= numibM_z[1]
	local M8= denibM_z[1]
	local M9= lateb_z[1]


use bst_results_south_2006_rel231_long_wlag.dta, clear


replace numbM=`M4' if _n==`j1' 
replace denombM=`M5' if _n==`j1' 
replace lateb=`M6' if _n==`j1' 

replace numbM_z=`M7' if _n==`j1' 
replace denombM_z=`M8' if _n==`j1' 
replace lateb_z=`M9' if _n==`j1' 

save bst_results_south_2006_rel231_long_wlag.dta, replace
local j1=`j1'+1
disp "Number of Iterations"
disp `j1'
}


sum

 
sum numbM
local numbMst=r(sd)
sum denombM
local denombMst=r(sd)
sum lateb
local latebMst=r(sd)
_pctile lateb, p(0.5, 2.5, 5, 95, 97.5, 99.5)
local plateb1=r(r1)
local plateb2=r(r2)
local plateb3=r(r3)
local plateb4=r(r4)
local plateb5=r(r5)
local plateb6=r(r6)

sum numbM_z 
local numbMst_z=r(sd)
sum denombM_z 
local denombMst_z=r(sd)
sum lateb_z 
local latebMst_z=r(sd)
_pctile lateb_z, p(0.5, 2.5, 5, 95, 97.5, 99.5)
local plateb1_z=r(r1)
local plateb2_z=r(r2)
local plateb3_z=r(r3)
local plateb4_z=r(r4)
local plateb5_z=r(r5)
local plateb6_z=r(r6)


use sout_w1w2_2006_w2rel231_w1rel231_long, replace
	**We compute the estimators from the real sample

biprobit (worker1=ivphealth age1 educ sisters lworker1) (daily=ivphealth age1 educ sisters lworker1), rob
predict xbhat, xb1
predict xghat, xb2
matrix coef=e(b)
svmat coef, name(b)
replace b1=b1[_n-1] in 2/l
replace b7=b7[_n-1] in 2/l
replace b9=b9[_n-1] in 2/l
replace b8=b8[_n-1] in 2/l
replace b6=b6[_n-1] in 2/l

gen x1b=xbhat-b1*ivphealth+b1 
gen x2b=xbhat-b1*ivphealth 
gen x1g=xghat-b7*ivphealth+b7
gen x2g=xghat-b7*ivphealth


gen df1b=normal(x1b) 
gen df2b=normal(x2b) 
gen df1g=normal(x1g) 
gen df2g=normal(x2g) 
gen num=df1b-df2b 
gen denom=df1g-df2g 




      egen numibM =mean(num)
      egen denibM =mean(denom)
      gen lateb=numibM/denibM

gen z=(group==3 & educ==1 & lworker1==1 & sisters!=0)

sum num if z==1
gen numibM_z=r(mean) if z==1
sum denom if z==1
gen denibM_z=r(mean) if z==1
gen lateb_z=numibM_z/denibM_z if z==1



 **These are the results for the estimates
sum numibM denibM lateb



gen numbMt=numibM/`numbMst'
gen numbMpv=2*(1-normal(abs(numbMt)))
gen denombMt=denibM/`denombMst'
gen denombMpv=2*(1-normal(abs(denombMt)))

gen latebMt=lateb/`latebMst'
gen latebMpv=2*(1-normal(abs(latebMt)))

gen numbMt_z=numibM_z/`numbMst_z' if z==1
gen numbMpv_z=2*(1-normal(abs(numbMt_z))) if z==1
gen denombMt_z=denibM_z/`denombMst_z' if z==1
gen denombMpv_z=2*(1-normal(abs(denombMt_z))) if z==1

gen sd4=`numbMst'
gen sd5=`denombMst'
gen sd6=`latebMst'
egen plateb05=mean(`plateb1')
egen plateb25=mean(`plateb2')
egen plateb5=mean(`plateb3')
egen plateb95=mean(`plateb4')
egen plateb975=mean(`plateb5')
egen plateb995=mean(`plateb6')

gen sd4_z=`numbMst_z'
gen sd5_z=`denombMst_z'
gen sd6_z=`latebMst_z'
egen plateb05_z=mean(`plateb1_z') if z==1
egen plateb25_z=mean(`plateb2_z') if z==1
egen plateb5_z=mean(`plateb3_z') if z==1
egen plateb95_z=mean(`plateb4_z') if z==1
egen plateb975_z=mean(`plateb5_z') if z==1
egen plateb995_z=mean(`plateb6_z') if z==1



**RESULTS
**For the SEs of the numerator and the denominator you need to look at sd4 and sd5 respectively
**For the 95 percent CI of the estimator of LATE you need to look into plate25 and plate975
sum numbMt numbMpv numibM sd4
sum denombMt denombMpv denibM sd5
sum lateb plateb05 plateb25 plateb5 plateb95 plateb975 plateb995 
sum latebMt latebMpv lateb sd6

*For the SEs of the numerator and the denominator for subgroups of women, you need to look at sd4_z and sd5_z respectively 
**For the 95 percent CI of the estimator of LATE you need to look into plate25_z and plate975_z
sum numbMt_z numbMpv_z numibM_z sd4_z if z==1 
sum denombMt_z denombMpv_z denibM_z sd5_z if z==1
sum lateb_z plateb05_z plateb25_z plateb5_z plateb95_z plateb975_z plateb995_z sd6_z if z==1






